THE ONE-LOOP QCD CORRECTIONS FOR GAMMA-ASTERISK-]Q(Q)OVER-BAR-GG

We compute the one-loop QCD amplitudes for the decay of an off-shell v ector boson with vector couplings into a quark-antiquark pair accompan ied by two gluons keeping, for the first time, all orders in the numbe r of colours. Together with previous work this completes the calculati on of the necessary one-loop amplitudes needed for the calculation of the next-to-leading order O(alpha(s)(3)) corrections to four jet produ ction in electron-positron annihilation, the production of a gauge bos on accompanied by two jets in hadron-hadron collisions and three jet p roduction in deep inelastic scattering. (C) 1997 Elsevier Science B.V.